Answer:
The least common denominator is 6.
Step-by-step explanation:
Answer:
The linear approximation of B(t) at t = 2.2 estimates B(t) = 9 for t = 2.8328
Step-by-step explanation:
b'(2.2) = 8 * e^(0.2cos(2.2)) = 7.1117 and b(2.2) = 4.5. The linear approximation of B(t) at t = 2.2 is
L(t) = 7.1117*(t-2.2) + 4.5
We want t so that L(t) = 9
9 = 7.1117*(t-2.2) + 4.5
4.5 = 7.1117 *(t-2.2)
t-2.2 = 4.5/7.1117 = 0.6327601
t = 2.2+0.6327601 = 2.8328
If the line is parallel, the slope must also be 1/3.
Plug in the coordinates of (0,-9) into y=1/3x+b:
1) -9=(1/3)(0)+b
2) -9=0+b
3) b=-9